One full revolution (2π radians) is made in 60 minutes. In 40 minutes, the hand moves through an angle θ of (40/60)(2π) = 4π/3 radians. The length of the arc is ...
P(> or =70) =0.65 P(Collins inside) =0.80 P(not 70) = 1-P(70) =>0.35 P(Collins inside) = 0.1 Then P(70 AND Collin inside) .65 x .8 =0.52 P( not 70 AND Collin Outside = 0.35 x 0.1=0.035 TOTAL Possibility [(70 AND Inside) OR (not 70 AND Outside): =0.52 + 0.034 =0.555